4.1 Notes - 4.1 Solving systems of linear equations in two...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
4.1 Solving systems of linear equations in two variables Goal: Solve two equations with two unknowns Purpose: Find the break-even point where cost is equal to revenue Review: A solution of an equation in two variables is an ordered pair (x,y) that makes the equation true. An equation in two variables has an infinite number of solutions. A system of two equations in two variables is a pair of equations with the same two variables (two equations with two unknowns.) A solution of this system is an ordered pair (x,y) that makes both equations true. This is the point where the graphs intersect. HW problem #1: Is (2, -1) a solution of the system? x – y = 3 2x – 4y = 8 Replace x with 2 and y with -1 in each equation:
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
You can estimate the solution of a system of equations by graphing each equation. If the graphs are the same, the equations are dependent (infinite number of solutions) If the graphs are different, the equations are independent. If they cross, there is one solution (the point where the graphs intersect)
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/13/2011 for the course MTH 110 taught by Professor Helenius during the Spring '08 term at Grand Valley State University.

Page1 / 5

4.1 Notes - 4.1 Solving systems of linear equations in two...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online